1. 2.7 Absolute Value Functions
Learning Goals
graph absolute value functions

2. Characteristics of Absolute Value Functions
shaped like a “V”
symmetrical about a vertical line called the axis of symmetry
domain is
range is connected to the vertex, which is a minimum or maximum value

3. vertex : where the function reaches its maximum or minimum.
To find the x-value of the vertex, set what’s inside the absolute value equal to 0.

4. Ex 1
Graph

5. Ex 2
Graph 𝑦=−2 𝑥− 1 2

6. Ex 3
Graph

7. Ex 4
Graph 2𝑦+4= 1 2 |𝑥+1|

8. Ex 5
Consider
How can an absolute value function extend below the x-axis if the absolute value of a quantity is always positive?
Is the graph of a function?